"I cannot figure out what my current correct password is."
Then at some point, you ignored several warnings begging you to write your password down before continuing, and soon you'll lose access forever. It informs you that your password can never be retrieved, and if you lose it, your account is gone. It's not possible to be given your original password, or to change it to a new one, without seeing that step. It's impossible to skip. It warns you that you'll lose your account if you don't copy down the password on paper. You were then forced to type it in, to confirm that you copied it down correctly, before gaining access to your account. So at some point, you DID have your correct password. It can't be changed without going through that whole process again - typing in the old password, writing down the new password, and then confirming it in a later step by typing it back in off the paper. 
If you really managed to lose your only copy, then yeah, you'll soon need a new account. You won't treat your password so carelessly next time!